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Finding the Third Proportional to 640,996 and 996,456

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Solution

The third proportional to 640,996 and 996,456 is: 1,549,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,996 : 996,456 = 996,456 : x
  2. Step 2: Convert to fraction form
    640,996/996,456 = 996,456/x
  3. Step 3: Cross multiply
    640,996x = 996,456 × 996,456
  4. Step 4: Simplify right side
    640,996x = 992,924,559,936
  5. Step 5: Solve for x
    x = 992,924,559,936/640,996
  6. Step 6: Final answer
    x = 1,549,033.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.